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Finding the Fourth Proportional to 33,853.46, 51,012.99 and 28,060.47

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Solution

The fourth proportional to 33,853.46, 51,012.99 and 28,060.47 is: 42,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,853.46 : 51,012.99 = 28,060.47 : x
  2. Step 2: Convert to fraction form
    33,853.46/51,012.99 = 28,060.47/x
  3. Step 3: Cross multiply
    33,853.46x = 51,012.99 × 28,060.47
  4. Step 4: Simplify right side
    33,853.46x = 1,431,448,475.51
  5. Step 5: Solve for x
    x = 1,431,448,475.51/33,853.46
  6. Step 6: Final answer
    x = 42,283.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.